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Simplifying -3(-6u + 3) + -7u = 3(u + -6) + -3 Reorder the terms: -3(3 + -6u) + -7u = 3(u + -6) + -3 (3 * -3 + -6u * -3) + -7u = 3(u + -6) + -3 (-9 + 18u) + -7u = 3(u + -6) + -3 Combine like terms: 18u + -7u = 11u -9 + 11u = 3(u + -6) + -3 Reorder the terms: -9 + 11u = 3(-6 + u) + -3 -9 + 11u = (-6 * 3 + u * 3) + -3 -9 + 11u = (-18 + 3u) + -3 Reorder the terms: -9 + 11u = -18 + -3 + 3u Combine like terms: -18 + -3 = -21 -9 + 11u = -21 + 3u Solving -9 + 11u = -21 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -9 + 11u + -3u = -21 + 3u + -3u Combine like terms: 11u + -3u = 8u -9 + 8u = -21 + 3u + -3u Combine like terms: 3u + -3u = 0 -9 + 8u = -21 + 0 -9 + 8u = -21 Add '9' to each side of the equation. -9 + 9 + 8u = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 8u = -21 + 9 8u = -21 + 9 Combine like terms: -21 + 9 = -12 8u = -12 Divide each side by '8'. u = -1.5 Simplifying u = -1.5
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